wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If X is a poisson variate such that P(X=0)=P(X=1),then P(X=2)=

A
e2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
e6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
16e
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12e
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 12e
P(X=0)=P(X=1)
P(0;μ)=eμμ00!=P(1;μ)=eμμ11!
eμ(1μ) = 0
μ=1
P(X=2) = eμμ22!=e12=12e

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Extrema
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon